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Finding the Fourth Proportional to 317,149.92, 437,896.58 and 204,169.50

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Solution

The fourth proportional to 317,149.92, 437,896.58 and 204,169.50 is: 281,901.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,149.92 : 437,896.58 = 204,169.50 : x
  2. Step 2: Convert to fraction form
    317,149.92/437,896.58 = 204,169.50/x
  3. Step 3: Cross multiply
    317,149.92x = 437,896.58 × 204,169.50
  4. Step 4: Simplify right side
    317,149.92x = 89,405,124,769.46
  5. Step 5: Solve for x
    x = 89,405,124,769.46/317,149.92
  6. Step 6: Final answer
    x = 281,901.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.